Panja, Prabir ; Mondal, Shyamal Kumar ; Chattopadhyay, Joydev (2016) Dynamics of cholera outbreak with bacteriophage and periodic rate of contact International Journal of Dynamics and Control, 4 (3). pp. 284-292. ISSN 2195-268X
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Official URL: http://doi.org/10.1007/s40435-015-0196-8
Related URL: http://dx.doi.org/10.1007/s40435-015-0196-8
Abstract
In this paper, a cholera epidemic model with periodic transmission rate has been considered and discussed. It is shown that the disease free equilibrium point is globally asymptotically stable and also seen that the cholera disease is disappeared if the basic reproduction number is less than one. When the basic reproduction number is grater than one, then the endemic equilibrium is globally asymptotically stable. Finally, numerical simulations have been given for the existence of the analytical results.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer Nature Switzerland AG |
| Keywords: | Cholera disease;Epidemic model;Local stability;Global stability;Bacteriophage |
| ID Code: | 132252 |
| Deposited On: | 15 Dec 2022 03:42 |
| Last Modified: | 15 Dec 2022 03:42 |
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